Question 84

The ratio of present ages of Rambha and Sarvesh is 8:5. After 7 years the ratio of their ages will be 5:4. What is Rambha's present age?

Solution

Let Rambha's present age = $$8x$$ years and Sarvesh's present age = $$5x$$ years

According to ques, => $$\frac{8x + 7}{5x + 7} = \frac{5}{4}$$

=> $$32x + 28 = 25x + 35$$

=> $$32x - 25x = 35 - 28$$

=> $$7x = 7$$

=> $$x = \frac{7}{7} = 1$$

$$\therefore$$ Rambha's age = $$8 \times 1 = 8$$ years

=> Ans - (C)

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